Suppose we wish to test H₀: μ ≤ 47 versus H₁: μ 47.What will result if we conclude that the mean is greater than 47 when its true value is really 52? A) We have made a Type II error. B) We have made a Type I error. C) We have made a correct decision. D) None of the above are correct.

Question

Suppose we wish to test H₀: μ ≤ 47 versus H₁: μ > 47.What will result if we conclude that the mean is greater than 47 when its true value is really 52? A) We have made a Type II error. B) We have made a Type I error. C) We have made a correct decision. D) None of the above are correct.

Quizplus · Accepted Answer

Concluding that the mean is greater than 47 when its true value is really 52 means we are rejecting the null hypothesis in favor of the alternative hypothesis correctly, as the true mean (52) is indeed greater than 47. This is a correct decision, not an error.

Suppose We Wish to Test H0: μ ≤ 47 Versus

Suppose We Wish to Test H₀: μ ≤ 47 Versus